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Consider a population of five items identical in appearance but weighing 9, 13, 15, 17 and 19 grams.
1. Determine the mean and the variance of the population.
2. How many possible samples can we have if we sample without replacement from the above population with a sample size of 2. Please justify your choice of counting rule to determine the number of possible samples.
3. Write down all the possible samples, either in a linear format (i.e. a simple list) or using a tree diagram.
4. Using the ten sample-mean values, estimate the mean of the population and the variance of x .
5. Compute the standard error of the mean.
What is the probability that the sample mean will be greater than M = 510. In symbols, what is p (M>510)?
In a group of six professors selected at random, what is the expected number of extroverts? What is the standard deviation of the distribution?
Use the five steps of hypothesis testing to determine whether the observed differences in the number of activities in the following table performed by the three groups are statistically significant at the .05 level of significance. Clearly indicat..
With 95% confidence, what is the margin of error (to 2 decimals)? What is the 95% confidence interval estimate of the population mean?
1. What do discrete random variables describe? 2. Explain joint probability. 3. Explain conditional probability.
At the .05 significance level, can we conclude that the mean waiting time is less than 3 minutes?
In a certain city, there are 100,000 persons age 18 to 24. A simple random sample of 500 such persons is drawn, of whom 198 turn out to be currently enrolled in college.
Country A and Country C spends about the same amount on average per person per year. Which has the greater spread?
the population mean of monthly wages of all college graduates under age of 30. Interpret your answer in the context of the problem.
Service A delivers the document with probability 0.9, Service B with probability 0.9 and Service C with probability 0.8. What is the probability that at least one copy of the document will be delivered on time?
The probability that a bomber hits a target on a bombing mission is 0.700. Three bombers are sent to bomb a particular target.
A normal population has a mean of 60 and a standard deviation of 3. You select a sample of 36. Compute the probability the sample mean is (Round z values to 2 decimal places and final answers to 4 decimal places):
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